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Finding the Fourth Proportional to 249.83, 344.45 and 212.93

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Solution

The fourth proportional to 249.83, 344.45 and 212.93 is: 293.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.83 : 344.45 = 212.93 : x
  2. Step 2: Convert to fraction form
    249.83/344.45 = 212.93/x
  3. Step 3: Cross multiply
    249.83x = 344.45 × 212.93
  4. Step 4: Simplify right side
    249.83x = 73,343.84
  5. Step 5: Solve for x
    x = 73,343.84/249.83
  6. Step 6: Final answer
    x = 293.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.